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Ymorist [56]
2 years ago
13

Simplify, using the distributive property and then combining like terms. 5(3a+b)−2(3a+b)

Mathematics
2 answers:
creativ13 [48]2 years ago
8 0

Answer:

9a + 3b

Step-by-step explanation:

Given

5(3a + b) - 2(3a + b) ← distribute both parenthesis

= 15a + 5b - 6a - 2b ← collect like terms

= 9a + 3b

FinnZ [79.3K]2 years ago
5 0

Answer:

The final answer would be 9a + 3b .

Step-by-step explanation:

Solve the following equation:

5(3a+b)-2(3a+b)

Use <u>Distributive Property</u>:

5(3a+b)-2(3a+b)

15a + 5b - 6a - 2b

-Combine 15a and 6a:

15a + 5b - 6a - 2b

9a + 5b - 2b

-Combine 5b and -2b:

9a + 5b - 2b

9a + 3b

So, the answer is 9a + 3b .

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4 0
3 years ago
Given: Tangents LA and LB, m∠AOB=110°. Find: m∠ALO.
Yuri [45]

Answer:

The measure of angle ALO = 35°

Step-by-step explanation:

* Lets talk about the tangents to a circle drawn from a point

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- They are perpendicular to the radii at the point of tang-ency

- If we join the points of tang-ency withe the center of the circle

 and join the outside point with center of the circle, we

 formed two congruent triangles

* Now lets check our problem

- AL and LB are two tangents to the circle O ant points A and B

∴ LA = LB ⇒ (1)

- OA and OB are radii in circle O

∴ OA = OB ⇒ (2)

∴ OA ⊥ AL and OB ⊥ BL ⇒ radius and tangent

∴ m∠OAL = 90° , m∠OBL = 90

∴ m∠OAL = m∠OBL ⇒ (3)

* From (1) , (2) , (3)

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- SAS is one case of congruence

∵ The lengths of two sides and the measure of the including

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∴ m∠LOA = m∠LOB

∵ m∠AOB = 110°

∴ m∠LOA = m∠LOB = 110/2 = 55°

* In ΔLAO

∵ m∠ LAO = 90° , m∠LOA = 55°

∴ m∠ALO = 180 - (90 + 55) = 180 - 145 = 35°

* The measure of angle ALO = 35°

8 0
3 years ago
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